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Finding the Third Proportional to 578,188.13 and 1,255,611.38

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Solution

The third proportional to 578,188.13 and 1,255,611.38 is: 2,726,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,188.13 : 1,255,611.38 = 1,255,611.38 : x
  2. Step 2: Convert to fraction form
    578,188.13/1,255,611.38 = 1,255,611.38/x
  3. Step 3: Cross multiply
    578,188.13x = 1,255,611.38 × 1,255,611.38
  4. Step 4: Simplify right side
    578,188.13x = 1,576,559,925,029.39
  5. Step 5: Solve for x
    x = 1,576,559,925,029.39/578,188.13
  6. Step 6: Final answer
    x = 2,726,724.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.